Diffusion of a turbulent spot in a problem with singularly perturbed initial turbulence energy
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 12, pp. 1916-1928 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1992_32_12_a6,
     author = {V. N. Grebenev},
     title = {Diffusion of a turbulent spot in a problem with singularly perturbed initial turbulence energy},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1916--1928},
     year = {1992},
     volume = {32},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_12_a6/}
}
TY  - JOUR
AU  - V. N. Grebenev
TI  - Diffusion of a turbulent spot in a problem with singularly perturbed initial turbulence energy
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1992
SP  - 1916
EP  - 1928
VL  - 32
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_12_a6/
LA  - ru
ID  - ZVMMF_1992_32_12_a6
ER  - 
%0 Journal Article
%A V. N. Grebenev
%T Diffusion of a turbulent spot in a problem with singularly perturbed initial turbulence energy
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1992
%P 1916-1928
%V 32
%N 12
%U http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_12_a6/
%G ru
%F ZVMMF_1992_32_12_a6
V. N. Grebenev. Diffusion of a turbulent spot in a problem with singularly perturbed initial turbulence energy. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 12, pp. 1916-1928. http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_12_a6/

[1] Barenblatt G. G., “Rasplyvanie turbulentnogo sloya”, N. E. Kochin i razvitie mekhaniki, Nauka, M., 1984 | MR

[2] Kamin S., Peletier L. A., Vazquez J. L., “Classification of singular solutions of a nonlinear heat equation”, Duke Math. J., 58:3 (1989), 601–615 | DOI | MR | Zbl

[3] Barenblatt G. I., “O nekotorykh neustanovivshikhsya dvizheniyakh zhidkosti i gaza v poristoi srede”, Prikl. matem. i mekhan., 16:1 (1952), 67–78 | MR | Zbl

[4] Vazquez J. L., “Asymptotic behavior and propagation properties of the one-dimensional flow of gas in a porous medium”, Trans. Amer. Math. Soc., 277:2 (1983), 507–527 | DOI | MR | Zbl

[5] Grebenev V. H., “O dinamicheskoi sisteme, voznikayuschei v zadache rasplyvaniya turbulentnogo sloya odnorodnoi zhidkosti”, Zh. vychisl. matem. i matem. fiz., 32:1 (1992), 123–135 | MR

[6] Herrero M. A., Vazquez J. L., “The one-dimensional nonlinear heat equation with absorptional: regularity of solutions and interfaces”, SIAM J. Math. Analys., 18:1 (1987), 149–166 | DOI | MR

[7] Veron L., “Effects regularisonts de semigroupes non-lineares dans les espaces de Banach”, Ann. Fac. Sci. Toulouse, 1 (1979), 171–200 | MR | Zbl

[8] Kruzhkov S. H., “Nelineinye parabolicheskie uravneniya s dvumya nezavisimymi peremennymi”, Tr. Mosk. matem. ob-va, 16, 1987, 329–346

[9] Kalashnikov A. S., “O kharaktere rasprostraneniya vozmuschenii v zadachakh nelineinoi teploprovodnosti”, Zh. vychisl. matem. i matem. fiz., 14:4 (1974), 891–905 | MR

[10] Kamin S., Peletier L. A., “Source-type solutions of degenerate diffusion equations with absorption”, Israel J. Math., 50:3 (1985), 219–230 | DOI | MR | Zbl

[11] Granik I. S., “K voprosu o lokalizatsii temperaturnykh vozmuschenii v sredakh s ob'emnym pogloscheniem tepla”, Zh. vychisl. matem. i matem. fiz., 18:3 (1978), 770–774 | MR | Zbl

[12] Samarskii A. A., Galaktionov V. A., Kurdyumov S. P., Mikhailov A. P., Rezhimy s obostreniem v zadachakh dlya kvazilineinykh parabolicheskikh uravnenii, Nauka, M., 1987 | MR

[13] Vaskes Kh. L., Galaktionov V. A., “Asimptoticheskoe povedenie reshenii nelineinogo uravneniya diffuzii-pogloscheniya pri kriticheskom pokazatele”, Dokl. AN SSSR, 314:3 (1990), 530–533

[14] Khenri D., Geometricheskaya teoriya polulineinykh parabolicheskikh uravnenii, Mir, M., 1985 | MR

[15] Zheleznyak M. I., Maderich V. S., “Analiticheskie i chislennye resheniya uravnenii turbulentnogo perenosa”, Volny i vikhri, Materialy II Vses. shkoly po metodam gidrofiz. issledovanii, Solnechnogorsk, 1986, 195–221

[16] Aronson D., Crandall M. G., Peletier L. A., “Stabilization of solutions of a degenerate nonlinear diffusion problem”, Nonlinear Analys. TMA, 6:10 (1982), 1001–1002 | DOI | MR